From 450137038552dbcf28dc4379b362087da7ad8a46 Mon Sep 17 00:00:00 2001
From: Pietro Incardona <incardon@mpi-cbg.de>
Date: Wed, 12 Jun 2019 14:10:34 +0200
Subject: [PATCH] Fixing for GCC8

---
 src/FiniteDifference/eq_unit_test_3d.cpp      |     2 +-
 .../cuda/vector_dist_operators_cuda.cuh       |   104 +-
 .../vector_dist_operators_tests_util.hpp      |   103 +-
 .../Vector/vector_dist_operators.hpp          |   224 +-
 .../vector_dist_operators_apply_kernel.hpp    |   635 +-
 ...dist_operators_apply_kernel_unit_tests.cpp |     3 +
 ..._dist_operators_apply_kernel_unit_tests.cu |    22 +
 .../vector_dist_operators_extensions.hpp      |     6 +
 .../vector_dist_operators_functions.hpp       |    62 +-
 .../vector_dist_operators_unit_tests.cu       |    13 +-
 ...d_driven_cavity_3d_p1_grid_0_test_GCC8.vtk | 25932 ++++++++++++++++
 ...d_driven_cavity_3d_p2_grid_0_test_GCC8.vtk | 12972 ++++++++
 ...d_driven_cavity_3d_p2_grid_1_test_GCC8.vtk | 12972 ++++++++
 ...d_driven_cavity_3d_p3_grid_0_test_GCC8.vtk |  7757 +++++
 ...d_driven_cavity_3d_p3_grid_1_test_GCC8.vtk |  8827 ++++++
 ...d_driven_cavity_3d_p3_grid_2_test_GCC8.vtk |  9372 ++++++
 16 files changed, 78925 insertions(+), 81 deletions(-)
 create mode 100644 test/petsc_solver<double>_lid_driven_cavity_3d_p1_grid_0_test_GCC8.vtk
 create mode 100644 test/petsc_solver<double>_lid_driven_cavity_3d_p2_grid_0_test_GCC8.vtk
 create mode 100644 test/petsc_solver<double>_lid_driven_cavity_3d_p2_grid_1_test_GCC8.vtk
 create mode 100644 test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_0_test_GCC8.vtk
 create mode 100644 test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_1_test_GCC8.vtk
 create mode 100644 test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_2_test_GCC8.vtk

diff --git a/src/FiniteDifference/eq_unit_test_3d.cpp b/src/FiniteDifference/eq_unit_test_3d.cpp
index 6c1d61e7..c7a50def 100644
--- a/src/FiniteDifference/eq_unit_test_3d.cpp
+++ b/src/FiniteDifference/eq_unit_test_3d.cpp
@@ -216,7 +216,7 @@ template<typename solver_type,typename lid_nn_3d> void lid_driven_cavity_3d()
 
 	#if __GNUC__ == 8
 
-        std::string file1 = std::string("test/") + s + "lid_driven_cavity_3d_p" + std::to_string(v_cl.getProcessingUnits()) + "_grid_" + std::to_string(v_cl.getProcessUnitID()) + "_test_GCC7.vtk";
+        std::string file1 = std::string("test/") + s + "lid_driven_cavity_3d_p" + std::to_string(v_cl.getProcessingUnits()) + "_grid_" + std::to_string(v_cl.getProcessUnitID()) + "_test_GCC8.vtk";
         std::string file2 = s + "lid_driven_cavity_3d_p" + std::to_string(v_cl.getProcessingUnits()) + "_grid_" + std::to_string(v_cl.getProcessUnitID()) + ".vtk";
 
 	#elif __GNUC__ == 7
diff --git a/src/Operators/Vector/cuda/vector_dist_operators_cuda.cuh b/src/Operators/Vector/cuda/vector_dist_operators_cuda.cuh
index 4d80e208..22fab494 100644
--- a/src/Operators/Vector/cuda/vector_dist_operators_cuda.cuh
+++ b/src/Operators/Vector/cuda/vector_dist_operators_cuda.cuh
@@ -150,7 +150,7 @@ struct pos_or_propR<vector,PROP_POS>
 	}
 };
 
-template<unsigned int prp ,int impl>
+template<unsigned int prp ,bool is_sort, int impl>
 struct vector_dist_op_compute_op
 {
 	template<typename vector, typename expr>
@@ -163,7 +163,7 @@ struct vector_dist_op_compute_op
 };
 
 template<unsigned int prp>
-struct vector_dist_op_compute_op<prp,comp_host>
+struct vector_dist_op_compute_op<prp,false,comp_host>
 {
 	template<typename vector, typename expr>
 	static void compute_expr(vector & v,expr & v_exp)
@@ -243,8 +243,46 @@ __global__ void compute_double_ker(vector vd, double d)
 	pos_or_propL_ker<vector,prp>::value(vd,p) = d;
 }
 
+/////////// SORTED VERSION //
+
+template<unsigned int prp, unsigned int dim ,typename vector, typename NN_type, typename expr>
+__global__ void compute_expr_ker_sort_vv(vector vd, NN_type NN, expr v_exp)
+{
+	int p;
+
+    GET_PARTICLE_SORT(p,NN);
+
+	for (unsigned int i = 0 ; i < dim ; i++)
+	{
+		vd.template get<prp>(p)[i] = v_exp.value(p).get(i);
+	}
+}
+
+template<unsigned int prp, typename vector, typename NN_type, typename expr>
+__global__ void compute_expr_ker_sort_v(vector vd, NN_type NN, expr v_exp)
+{
+	int p;
+
+    GET_PARTICLE_SORT(p,NN);
+
+	vd.template get<prp>(p) = v_exp.value(p);
+}
+
+template<unsigned int prp, typename vector, typename expr, typename NN_type>
+__global__ void compute_expr_ker_sort(vector vd, NN_type NN, expr v_exp)
+{
+	int p;
+
+    GET_PARTICLE_SORT(p,NN);
+
+	pos_or_propL_ker<vector,prp>::value(vd,p) = v_exp.value(p);
+}
+
+
+/////////////////////////////
+
 template<unsigned int prp>
-struct vector_dist_op_compute_op<prp,comp_dev>
+struct vector_dist_op_compute_op<prp,false,comp_dev>
 {
 	template<typename vector, typename expr>
 	static void compute_expr(vector & v,expr & v_exp)
@@ -256,6 +294,26 @@ struct vector_dist_op_compute_op<prp,comp_dev>
 		compute_expr_ker<prp><<<ite.wthr,ite.thr>>>(v,v_exp);
 	}
 
+	template<typename vector, typename expr>
+	static void compute_expr_v(vector & v,expr & v_exp)
+	{
+		v_exp.init();
+
+		auto ite  = v.getGPUIterator(256);
+
+		compute_expr_ker_v<prp><<<ite.wthr,ite.thr>>>(v,v_exp);
+	}
+
+	template<unsigned int dim, typename vector, typename expr>
+	static void compute_expr_vv(vector & v,expr & v_exp)
+	{
+		v_exp.init();
+
+		auto ite  = v.getGPUIterator(256);
+
+		compute_expr_ker_vv<prp,dim><<<ite.wthr,ite.thr>>>(v,v_exp);
+	}
+
 	template<typename vector>
 	static void compute_const(vector & v,double d)
 	{
@@ -265,6 +323,46 @@ struct vector_dist_op_compute_op<prp,comp_dev>
 	}
 };
 
+template<unsigned int prp>
+struct vector_dist_op_compute_op<prp,true,comp_dev>
+{
+	template<typename vector, typename expr>
+	static void compute_expr(vector & v,expr & v_exp)
+	{
+		v_exp.init();
+
+		auto ite  = v.getDomainIteratorGPU(256);
+
+		auto NN = v_exp.getNN();
+
+		compute_expr_ker_sort<prp><<<ite.wthr,ite.thr>>>(v,*NN,v_exp);
+	}
+
+	template<typename vector, typename expr>
+	static void compute_expr_v(vector & v,expr & v_exp)
+	{
+		v_exp.init();
+
+		auto ite  = v.getGPUIterator(256);
+
+		auto NN = v_exp.getNN();
+
+		compute_expr_ker_sort_v<prp><<<ite.wthr,ite.thr>>>(v,*NN,v_exp);
+	}
+
+	template<unsigned int dim, typename vector, typename expr>
+	static void compute_expr_vv(vector & v,expr & v_exp)
+	{
+		v_exp.init();
+
+		auto ite  = v.getGPUIterator(256);
+
+		auto NN = v_exp.getNN();
+
+		compute_expr_ker_sort_vv<prp,dim><<<ite.wthr,ite.thr>>>(v,*NN,v_exp);
+	}
+};
+
 #endif
 
 
diff --git a/src/Operators/Vector/tests/vector_dist_operators_tests_util.hpp b/src/Operators/Vector/tests/vector_dist_operators_tests_util.hpp
index ff873680..48b93f3e 100644
--- a/src/Operators/Vector/tests/vector_dist_operators_tests_util.hpp
+++ b/src/Operators/Vector/tests/vector_dist_operators_tests_util.hpp
@@ -1138,7 +1138,6 @@ bool check_values_apply_kernel(vector & vd, Kernel & ker, NN_type & NN)
 		Point<3,float> xp = vd.getPos(p);
 
 		float base1 = vd.template getProp<A>(p);
-
 		float prp_x = vd.template getProp<VC>(p) * vd.template getProp<VB>(p) + norm(vd.template getProp<VB>(p));
 
 		// For each neighborhood particle
@@ -1760,6 +1759,71 @@ void vector_dist_op_ap_ker_impl(vector & vd, vA_type & vA,
 	check_values_apply_kernel3_reduce<impl>(vd,ker,cl_host,p);
 }
 
+template<typename vector,
+		 typename vA_type,
+		 typename vC_type,
+		 typename vVA_type,
+		 typename vVB_type,
+		 typename vVC_type>
+void vector_dist_op_ap_ker_impl_sort(vector & vd, vA_type & vA,
+											 vC_type & vC,
+											 vVA_type & vVA,
+											 vVB_type & vVB,
+											 vVC_type & vVC,
+											 unsigned int opt)
+{
+	// we apply an exponential kernel to calculate something
+
+	auto cl_gpu = vd.getCellListGPU(0.05);
+	auto cl = cl_gpu.toKernel();
+	auto cl_host = vd.template getCellListDev<comp_host>(0.05);
+	exp_kernel ker(0.2);
+
+	vA = applyKernel_in_sort(vVC * vVB + norm(vVB),vd,cl,ker) + vC;
+	vd.template merge_sort<A>(cl_gpu);
+	check_values_apply_kernel<comp_dev>(vd,ker,cl_host);
+
+	vVA = applyKernel_in_sort(2.0*vVC + vVB ,vd,cl,ker) + vVC;
+	vd.template merge_sort<VA>(cl_gpu);
+	check_values_apply_kernel2<comp_dev>(vd,ker,cl_host);
+
+/*	vA = rsum(applyKernel_in_sort(vVC * vVB + norm(vVB),vd,cl,ker)) + vC;
+	vd.template merge_sort<A>(cl_gpu);
+	check_values_apply_kernel_reduce<comp_dev>(vd,ker,cl_host);
+
+	vVA = rsum(applyKernel_in_sort(2.0*vVC + vVB ,vd,cl,ker)) + vVC;
+	vd.template merge_sort<VA>(cl_gpu);
+	check_values_apply_kernel2_reduce<comp_dev>(vd,ker,cl_host);*/
+
+	vA = applyKernel_in_gen_sort(vVC * vVB + norm(vVB),vd,cl,ker) + vC;
+	vd.template merge_sort<A>(cl_gpu);
+	check_values_apply_kernel<comp_dev>(vd,ker,cl_host);
+
+	vVA = applyKernel_in_gen_sort(2.0*vVC + vVB ,vd,cl,ker) + vVC;
+	vd.template merge_sort<VA>(cl_gpu);
+	check_values_apply_kernel2<comp_dev>(vd,ker,cl_host);
+
+/*	vA = rsum(applyKernel_in_gen_sort(vVC * vVB + norm(vVB),vd,cl,ker)) + vC;
+	vd.template merge_sort<A>(cl_gpu);
+	check_values_apply_kernel_reduce<comp_dev>(vd,ker,cl_host);
+
+	vVA = rsum(applyKernel_in_gen_sort(2.0*vVC + vVB ,vd,cl,ker)) + vVC;
+	vd.template merge_sort<VA>(cl_gpu);
+	check_values_apply_kernel2_reduce<comp_dev>(vd,ker,cl_host);*/
+
+	// Check it compile the code is the same
+	vVA = applyKernel_in_gen_sort(vVC,vd,cl,ker) + vVC;
+	vd.template merge_sort<VA>(cl_gpu);
+	check_values_apply_kernel3<comp_dev>(vd,ker,cl_host);
+
+	vVA = applyKernel_in_sort(vVC,vd,cl,ker) + vVC;
+	vd.template merge_sort<VA>(cl_gpu);
+	check_values_apply_kernel3<comp_dev>(vd,ker,cl_host);
+
+/*	Point<2,float> p = rsum(applyKernel_in_sim_sort(vd,cl,ker)).get();
+	check_values_apply_kernel3_reduce<comp_dev>(vd,ker,cl_host,p);*/
+}
+
 template<unsigned int impl>
 struct check_all_apply_ker
 {
@@ -1782,19 +1846,18 @@ struct check_all_apply_ker
 	}
 };
 
+
 template<>
 struct check_all_apply_ker<comp_dev>
 {
 	template<typename vector_type> static void check(vector_type & vd)
 	{
-		auto vdk = vd.toKernel();
+		auto vA = getV<A,comp_dev>(vd);
+		auto vC = getV<C,comp_dev>(vd);
 
-		auto vA = getV<A>(vd,vdk);
-		auto vC = getV<C>(vd,vdk);
-
-		auto vVA = getV<VA>(vd,vdk);
-		auto vVB = getV<VB>(vd,vdk);
-		auto vVC = getV<VC>(vd,vdk);
+		auto vVA = getV<VA,comp_dev>(vd);
+		auto vVB = getV<VB,comp_dev>(vd);
+		auto vVC = getV<VC,comp_dev>(vd);
 
 		// fill vd with some value
 		fill_values<comp_dev>(vd);
@@ -1808,4 +1871,28 @@ struct check_all_apply_ker<comp_dev>
 	}
 };
 
+
+struct check_all_apply_ker_sort
+{
+	template<typename vector_type> static void check(vector_type & vd)
+	{
+		auto vA = getV_sort<A>(vd);
+		auto vC = getV_sort<C>(vd);
+
+		auto vVA = getV_sort<VA>(vd);
+		auto vVB = getV_sort<VB>(vd);
+		auto vVC = getV_sort<VC>(vd);
+
+		// fill vd with some value
+		fill_values<comp_dev>(vd);
+
+		vd.map(RUN_ON_DEVICE);
+		vd.template ghost_get<0,1,2,3,4,5,6>(RUN_ON_DEVICE);
+		vd.template deviceToHostProp<0,1,2,3,4,5,6>();
+		vd.deviceToHostPos();
+
+		vector_dist_op_ap_ker_impl_sort(vd,vA,vC,vVA,vVB,vVC,RUN_ON_DEVICE);
+	}
+};
+
 #endif /* VECTOR_DIST_OPERATORS_TESTS_UTIL_HPP_ */
diff --git a/src/Operators/Vector/vector_dist_operators.hpp b/src/Operators/Vector/vector_dist_operators.hpp
index 363feb36..bbbb30fc 100644
--- a/src/Operators/Vector/vector_dist_operators.hpp
+++ b/src/Operators/Vector/vector_dist_operators.hpp
@@ -29,6 +29,10 @@
 #define VECT_APPLYKER_OUT_SIM 14
 #define VECT_APPLYKER_REDUCE_SIM 15
 
+#define VECT_APPLYKER_IN_GEN_SORT 16
+#define VECT_APPLYKER_IN_SORT 17
+#define VECT_APPLYKER_IN_SIM_SORT 18
+
 #define VECT_NORM 56
 #define VECT_NORM2 57
 #define VECT_ABS 58
@@ -165,6 +169,49 @@ struct vector_result<void,v2_type>
 	}
 };
 
+template<typename NN1_type, typename NN2_type>
+struct nn_type_result
+{
+	typedef NN1_type type;
+
+	template<typename exp1, typename exp2>
+	static type * getNN(exp1 & o1, exp2 & o2)
+	{
+		return o1.getNN();
+	}
+
+	template<typename exp1>
+	static type * getNN(exp1 & o1)
+	{
+		return o1.getNN();
+	}
+};
+
+
+template<typename NN2_type>
+struct nn_type_result<void,NN2_type>
+{
+	typedef NN2_type type;
+
+	template<typename exp1, typename exp2>
+	static type * getNN(exp1 & o1, exp2 & o2)
+	{
+		return o2.getNN();
+	}
+
+	template<typename exp2>
+	static type * getNN(exp2 & o2)
+	{
+		return o2.getNN();
+	}
+};
+
+template<bool s1, bool s2>
+struct vector_is_sort_result
+{
+	typedef boost::mpl::bool_<s1 | s2> type;
+};
+
 /*! \brief Sum operation
  *
  * \tparam exp1 expression1
@@ -188,11 +235,27 @@ public:
 	//! return the vector type on which this expression operate
 	typedef typename vector_result<typename exp1::vtype,typename exp2::vtype>::type vtype;
 
+	//! result for is sort
+	typedef typename vector_is_sort_result<exp1::is_sort::value,exp2::is_sort::value>::type is_sort;
+
+	//! NN_type
+	typedef typename nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::type NN_type;
+
 	//! constructor of the expression to sum two expression
 	inline vector_dist_expression_op(const exp1 & o1, const exp2 & o2)
 	:o1(o1),o2(o2)
 	{}
 
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_type * getNN() const
+	{
+		return nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::getNN(o1,o2);
+	}
+
 	/*! \brief Return the underlying vector
 	 *
 	 * \return the vector
@@ -264,11 +327,27 @@ public:
 	//! return the vector type on which this expression operate
 	typedef typename vector_result<typename exp1::vtype,typename exp2::vtype>::type vtype;
 
+	//! result for is sort
+	typedef typename vector_is_sort_result<exp1::is_sort::value,exp2::is_sort::value>::type is_sort;
+
+	//! NN_type
+	typedef typename nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::type NN_type;
+
 	//! Costruct a subtraction expression out of two expressions
 	inline vector_dist_expression_op(const exp1 & o1, const exp2 & o2)
 	:o1(o1),o2(o2)
 	{}
 
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_type * getNN() const
+	{
+		return nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::getNN(o1,o2);
+	}
+
 	/*! \brief Return the underlying vector
 	 *
 	 * \return the vector
@@ -339,6 +418,12 @@ public:
 	//! return the vector type on which this expression operate
 	typedef typename vector_result<typename exp1::vtype,typename exp2::vtype>::type vtype;
 
+	//! result for is sort
+	typedef typename vector_is_sort_result<exp1::is_sort::value,exp2::is_sort::value>::type is_sort;
+
+	//! NN_type
+	typedef typename nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::type NN_type;
+
 	//! constructor from two expressions
 	vector_dist_expression_op(const exp1 & o1, const exp2 & o2)
 	:o1(o1),o2(o2)
@@ -413,11 +498,27 @@ public:
 	//! return the vector type on which this expression operate
 	typedef typename vector_result<typename exp1::vtype,typename exp2::vtype>::type vtype;
 
+	//! result for is sort
+	typedef typename vector_is_sort_result<exp1::is_sort::value,exp2::is_sort::value>::type is_sort;
+
+	//! NN_type
+	typedef typename nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::type NN_type;
+
 	//! constructor from two expressions
 	vector_dist_expression_op(const exp1 & o1, const exp2 & o2)
 	:o1(o1),o2(o2)
 	{}
 
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_type * getNN() const
+	{
+		return nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::getNN(o1,o2);
+	}
+
 	/*! \brief Return the underlying vector
 	 *
 	 * \return the vector
@@ -482,11 +583,27 @@ public:
 	//! return the vector type on which this expression operate
 	typedef typename vector_result<typename exp1::vtype,void>::type vtype;
 
+	//! result for is sort
+	typedef typename vector_is_sort_result<exp1::is_sort::value,false>::type is_sort;
+
+	//! NN_type
+	typedef typename nn_type_result<typename exp1::NN_type,void>::type NN_type;
+
 	//! constructor from an expresssion
 	vector_dist_expression_op(const exp1 & o1)
 	:o1(o1)
 	{}
 
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_type * getNN() const
+	{
+		return nn_type_result<typename exp1::NN_type,void>::getNN(o1);
+	}
+
 	/*! \brief Return the underlying vector
 	 *
 	 * \return the vector
@@ -582,6 +699,12 @@ public:
 	//! The type of the internal vector
 	typedef vector vtype;
 
+	//! result for is sort
+	typedef boost::mpl::bool_<false> is_sort;
+
+	//! NN_type
+	typedef void NN_type;
+
 	//! Property id of the point
 	static const unsigned int prop = prp;
 
@@ -598,6 +721,16 @@ public:
 		{vdl->remove(v.v);}
 	}
 
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline void * getNN() const
+	{
+		return NULL;
+	}
+
 	/*! \brief Return the vector on which is acting
 	 *
 	 * It return the vector used in getVExpr, to get this object
@@ -627,9 +760,9 @@ public:
 	 * \param vdkl vector_dist_ker_list
 	 *
 	 */
-	void set_vector_dist_ker_list(vector_dist_ker_list<vector> & vdkl)
+	void set_vector_dist_ker_list(vector_dist_ker_list<vector> & vdkl, bool is_sort)
 	{
-		vdkl.add(v.v);
+		vdkl.add(v.v,is_sort);
 		vdl = &vdkl;
 	}
 
@@ -676,13 +809,13 @@ public:
 	{
 		if (has_vector_kernel<vector>::type::value == false)
 		{
-			vector_dist_op_compute_op<prp,vector_dist_expression_comp_sel<comp_host,
+			vector_dist_op_compute_op<prp,false,vector_dist_expression_comp_sel<comp_host,
 																	   	  has_vector_kernel<vector>::type::value>::type::value>
 			::compute_expr(v.v,v_exp);
 		}
 		else
 		{
-			vector_dist_op_compute_op<prp,vector_dist_expression_comp_sel<comp_dev,
+			vector_dist_op_compute_op<prp,false,vector_dist_expression_comp_sel<comp_dev,
 		   	  	  	  	  	  	  	  	  	  	  	  	  	  	  	  	  has_vector_kernel<vector>::type::value>::type::value>
 			::compute_expr(v.v,v_exp);
 		}
@@ -702,14 +835,18 @@ public:
 	{
 		if (has_vector_kernel<vector>::type::value == false)
 		{
-			vector_dist_op_compute_op<prp,vector_dist_expression_comp_sel<comp_host,
-																	   	  has_vector_kernel<vector>::type::value>::type::value>
+			vector_dist_op_compute_op<prp,
+									  vector_dist_expression_op<exp1,exp2,op>::is_sort::value,
+									  vector_dist_expression_comp_sel<comp_host,
+																	  has_vector_kernel<vector>::type::value>::type::value>
 			::compute_expr(v.v,v_exp);
 		}
 		else
 		{
-			vector_dist_op_compute_op<prp,vector_dist_expression_comp_sel<comp_dev,
-		   	  	  	  	  	  	  	  	  	  	  	  	  	  	  	  	  has_vector_kernel<vector>::type::value>::type::value>
+			vector_dist_op_compute_op<prp,
+									  vector_dist_expression_op<exp1,exp2,op>::is_sort::value,
+									  vector_dist_expression_comp_sel<comp_dev,
+		   	  	  	  	  	  	  	  	  	  	  	  	  	  	  	  has_vector_kernel<vector>::type::value>::type::value>
 			::compute_expr(v.v,v_exp);
 		}
 
@@ -727,14 +864,18 @@ public:
 	{
 		if (has_vector_kernel<vector>::type::value == false)
 		{
-			vector_dist_op_compute_op<prp,vector_dist_expression_comp_sel<comp_host,
-																	   	  has_vector_kernel<vector>::type::value>::type::value>
+			vector_dist_op_compute_op<prp,
+									  false,
+									  vector_dist_expression_comp_sel<comp_host,
+																	  has_vector_kernel<vector>::type::value>::type::value>
 			::compute_const(v.v,d);
 		}
 		else
 		{
-			vector_dist_op_compute_op<prp,vector_dist_expression_comp_sel<comp_dev,
-		   	  	  	  	  	  	  	  	  	  	  	  	  	  	  	  	  has_vector_kernel<vector>::type::value>::type::value>
+			vector_dist_op_compute_op<prp,
+									  false,
+									  vector_dist_expression_comp_sel<comp_dev,
+		   	  	  	  	  	  	  	  	  	  	  	  	  	  	  	  has_vector_kernel<vector>::type::value>::type::value>
 			::compute_const(v.v,d);
 		}
 
@@ -742,35 +883,64 @@ public:
 	}
 };
 
+template<typename vector, unsigned int impl>
+struct switcher_get_v
+{
+	typedef vector type;
+
+	static vector & get(vector & v)	{return v;};
+
+	template<typename exp_type, typename vector_klist>
+	static void register_vector(exp_type & exp_v, vector_klist & v,bool is_sort)
+	{
+	}
+};
+
+template<typename vector>
+struct switcher_get_v<vector,comp_dev>
+{
+	typedef decltype(std::declval<vector>().toKernel()) type;
+
+	static type get(vector & v)	{return v.toKernel();};
+
+	template<typename exp_type, typename vector_klist>
+	static void register_vector(exp_type & exp_v, vector_klist & v,bool is_sort)
+	{
+		exp_v.set_vector_dist_ker_list(v.private_get_vector_dist_ker_list(),is_sort);
+	}
+};
+
 /*! \Create an expression from a vector property
  *
  * \tpatam prp property
  * \param v
  *
  */
-template <unsigned int prp,typename vector>
-inline vector_dist_expression<prp,vector > getV(vector & v)
+template <unsigned int prp,unsigned int impl = comp_host, typename vector>
+inline vector_dist_expression<prp,typename switcher_get_v<vector,impl>::type > getV(vector & v)
 {
-	vector_dist_expression<prp,vector > exp_v(v);
+	decltype(switcher_get_v<vector,impl>::get(v)) vk = switcher_get_v<vector,impl>::get(v);
+	vector_dist_expression<prp,typename switcher_get_v<vector,impl>::type > exp_v(vk);
+
+	switcher_get_v<vector,impl>::register_vector(exp_v,v,false);
 
 	return exp_v;
 }
 
+
 /*! \Create an expression from a vector property
  *
  * \tpatam prp property
  * \param v
  *
  */
-template <unsigned int prp,typename vector, typename vector_ker>
-inline vector_dist_expression<prp,vector_ker > getV(vector & v, vector_ker & vk)
+template <unsigned int prp,typename vector>
+inline vector_dist_expression<prp, typename switcher_get_v<vector,comp_dev>::type > getV_sort(vector & v)
 {
-	vector_dist_expression<prp,vector_ker > exp_v(vk);
+	auto vk = v.toKernel_sorted();
+	vector_dist_expression<prp,typename switcher_get_v<vector, comp_dev>::type > exp_v(vk);
 
-	if (std::is_same<vector,vector_ker>::value == false && has_vector_kernel<vector_ker>::value == true)
-	{
-		exp_v.set_vector_dist_ker_list(v.private_get_vector_dist_ker_list());
-	}
+	exp_v.set_vector_dist_ker_list(v.private_get_vector_dist_ker_list(),true);
 
 	return exp_v;
 }
@@ -792,6 +962,11 @@ public:
 
 	typedef void vtype;
 
+	//! result for is sort
+	typedef boost::mpl::bool_<false> is_sort;
+
+	typedef void NN_type;
+
 	//! constructor from a constant expression
 	inline vector_dist_expression(const double & d)
 	:d(d)
@@ -852,6 +1027,11 @@ public:
 	//! type of object the structure return then evaluated
 	typedef void vtype;
 
+	//! result for is sort
+	typedef boost::mpl::bool_<false> is_sort;
+
+	typedef void NN_type;
+
 	//! constrictor from constant value
 	inline vector_dist_expression(const float & d)
 	:d(d)
diff --git a/src/Operators/Vector/vector_dist_operators_apply_kernel.hpp b/src/Operators/Vector/vector_dist_operators_apply_kernel.hpp
index 320ef37b..0fdd7678 100644
--- a/src/Operators/Vector/vector_dist_operators_apply_kernel.hpp
+++ b/src/Operators/Vector/vector_dist_operators_apply_kernel.hpp
@@ -77,11 +77,34 @@ struct set_zero<Point<dim,T>>
 	}
 };
 
+constexpr int NN_index_sort = 1;
+constexpr int NN_index_unsort = 0;
+
+template<unsigned int impl>
+struct NN_index
+{
+	template<typename NN_type>
+	static auto get(NN_type & NN) -> decltype(NN.get())
+	{
+		return NN.get();
+	}
+};
+
+template<>
+struct NN_index<NN_index_sort>
+{
+	template<typename NN_type>
+	static auto get(NN_type & NN) -> decltype(NN.get_sort())
+	{
+		return NN.get_sort();
+	}
+};
+
 /*! \brief Apply the kernel to particle differently that is a number or is an expression
  *
  *
  */
-template<typename T, typename vector, typename exp,typename NN_type, typename Kernel, typename rtype, bool is_exp=is_expression<T>::value>
+template<unsigned int impl, typename T, typename vector, typename exp,typename NN_type, typename Kernel, typename rtype, bool is_exp=is_expression<T>::value>
 struct apply_kernel_is_number_or_expression
 {
 	/*! \brief Apply the kernel expression to a particle
@@ -110,7 +133,7 @@ struct apply_kernel_is_number_or_expression
 	    auto NN = cl.template getNNIterator<NO_CHECK>(cl.getCell(p));
 	    while(NN.isNext())
 	    {
-	    	auto nnp = NN.get();
+	    	auto nnp = NN_index<impl>::get(NN);
 
 	    	// Calculate contribution given by the kernel value at position p,
 	    	// given by the Near particle, exclude itself
@@ -141,7 +164,7 @@ struct apply_kernel_is_number_or_expression
  *
  *
  */
-template<typename vector, typename exp,typename NN_type, typename Kernel, typename rtype>
+template<unsigned int impl, typename vector, typename exp,typename NN_type, typename Kernel, typename rtype>
 struct apply_kernel_is_number_or_expression_sim
 {
 	/*! \brief Apply the kernel expression to a particle
@@ -166,7 +189,7 @@ struct apply_kernel_is_number_or_expression_sim
 	    auto NN = cl.template getNNIterator<NO_CHECK>(cl.getCell(p));
 	    while(NN.isNext())
 	    {
-	    	auto nnp = NN.get();
+	    	auto nnp = NN_index<impl>::get(NN);
 
 	    	// Calculate contribution given by the kernel value at position p,
 	    	// given by the Near particle, exclude itself
@@ -192,7 +215,7 @@ struct apply_kernel_is_number_or_expression_sim
  *
  *
  */
-template<typename T, typename vector, typename exp,typename NN_type, typename Kernel, typename rtype, bool is_exp=is_expression<T>::value>
+template<unsigned int impl, typename T, typename vector, typename exp,typename NN_type, typename Kernel, typename rtype, bool is_exp=is_expression<T>::value>
 struct apply_kernel_is_number_or_expression_gen
 {
 	/*! \brief Apply the kernel expression to a particle
@@ -221,7 +244,7 @@ struct apply_kernel_is_number_or_expression_gen
 	    auto NN = cl.template getNNIterator<NO_CHECK>(cl.getCell(p));
 	    while(NN.isNext())
 	    {
-	    	auto nnp = NN.get();
+	    	auto nnp = NN_index<impl>::get(NN);
 
 	    	// Calculate contribution given by the kernel value at position p,
 	    	// given by the Near particle, exclude itself
@@ -322,6 +345,22 @@ public:
 	//! vector type on which this expression work
 	typedef vector_orig_nr vtype;
 
+	//! indicate that is apply_kernel is not a sorted version
+	typedef boost::mpl::bool_<false> is_sort;
+
+	//! type of NN structure
+	typedef NN_nr NN_type;
+
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_nr * getNN() const
+	{
+		return &cl.obj;
+	}
+
 	/*! \brief get the vector
 	 *
 	 * \return the vector
@@ -363,7 +402,121 @@ public:
 	 */
 	__device__ __host__ inline typename std::remove_reference<rtype>::type value(const vect_dist_key_dx & key) const
 	{
-		return apply_kernel_is_number_or_expression<decltype(o1.value(key)),
+		return apply_kernel_is_number_or_expression<NN_index_unsort,
+													decltype(o1.value(key)),
+													vector_orig_nr,
+													exp1,
+													NN_nr,
+													Kernel_nr,
+													rtype>::apply(vd,cl.obj,o1,key,ker.obj);
+	}
+};
+
+/*! \brief Apply kernel operation
+ *
+ * \tparam exp1 expression1
+ * \tparam NN list
+ *
+ */
+template <typename exp1,typename vector_type>
+class vector_dist_expression_op<exp1,vector_type,VECT_APPLYKER_IN_SORT>
+{
+	//! Get the type of the Cell-list
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<0>>::type NN;
+	//! Get the type of the kernel
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<1>>::type Kernel;
+	//! Get the type that contain the particle positions
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<2>>::type vector_orig;
+
+	//! Return the type of the Cell-list
+	typedef typename std::remove_reference<NN>::type NN_nr;
+	//! Return the type of the kernel
+	typedef typename std::remove_reference<Kernel>::type Kernel_nr;
+	//! Return the vector containing the position of the particles
+	typedef typename std::remove_reference<vector_orig>::type vector_orig_nr;
+
+	//! expression
+	const exp1 o1;
+
+	//! Cell-list
+	mutable_or_not<NN,is_gpu_celllist<NN>::type::value || is_gpu_ker_celllist<NN>::type::value> cl;
+
+	//! kernel
+	mutable_or_not<Kernel,is_gpu_celllist<NN>::type::value || is_gpu_ker_celllist<NN>::type::value> ker;
+
+	//! The vector that contain the particles
+	typename add_const_reference<vector_orig>::type vd;
+
+	//! Get the return type of applying the kernel to a particle
+	typedef typename apply_kernel_rtype<decltype(o1.value(vect_dist_key_dx()))>::rtype rtype;
+
+public:
+
+	//! indicate if this expression operate on kernel expression
+	typedef typename has_vector_kernel<vector_orig_nr>::type is_ker;
+
+	//! vector type on which this expression work
+	typedef vector_orig_nr vtype;
+
+	//! indicate that is apply_kernel is not a sorted version
+	typedef boost::mpl::bool_<true> is_sort;
+
+	//! type of NN structure
+	typedef NN_nr NN_type;
+
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_nr * getNN() const
+	{
+		return &cl.obj;
+	}
+
+	/*! \brief get the vector
+	 *
+	 * \return the vector
+	 *
+	 */
+	inline const vtype & getVector() const
+	{
+		return vd;
+	}
+
+	/*! \brief This function must be called before value
+	 *
+	 * it initialize the expression if needed
+	 *
+	 */
+	inline void init() const
+	{
+		o1.init();
+	}
+
+	/*! \brief Constructor
+	 *
+	 * \param o1 expression
+	 * \param cl Cell-list
+	 * \param ker kernel function
+	 * \param vd vector containing the particle positions
+	 *
+	 */
+	vector_dist_expression_op(const exp1 & o1, NN_nr & cl, Kernel & ker, const vector_orig_nr & vd)
+	:o1(o1),cl(cl),ker(ker),vd(vd)
+	{}
+
+	/*! \brief Evaluate the expression
+	 *
+	 * \param key where to evaluate the expression
+	 *
+	 * \return the result of the expression
+	 *
+	 */
+	__device__ __host__ inline typename std::remove_reference<rtype>::type value(const vect_dist_key_dx & key) const
+	{
+		return apply_kernel_is_number_or_expression<NN_index_sort,
+													decltype(o1.value(key)),
 													vector_orig_nr,
 													exp1,
 													NN_nr,
@@ -416,6 +569,22 @@ public:
 	//! vector type on which this expression work
 	typedef vector_orig_nr vtype;
 
+	//! indicate that is apply_kernel is not a sorted version
+	typedef boost::mpl::bool_<false> is_sort;
+
+	//! type of NN structure
+	typedef NN_nr NN_type;
+
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_nr * getNN() const
+	{
+		return &cl.obj;
+	}
+
 	/*! \brief get the vector
 	 *
 	 * \return the vector
@@ -455,10 +624,122 @@ public:
 	 */
 	__device__ __host__ inline typename std::remove_reference<rtype>::type value(const vect_dist_key_dx & key) const
 	{
-		return apply_kernel_is_number_or_expression_sim<vector_orig_nr,exp1,NN_nr,Kernel_nr,rtype>::apply(vd,cl.obj,key,ker.obj);
+		return apply_kernel_is_number_or_expression_sim<NN_index_unsort,
+														vector_orig_nr,
+														exp1,
+														NN_nr,
+														Kernel_nr,
+														rtype>::apply(vd,cl.obj,key,ker.obj);
 	}
 };
 
+/*! \brief Apply kernel operation
+ *
+ * \tparam exp1 expression1
+ * \tparam NN list
+ *
+ */
+template <typename exp1,typename vector_type>
+class vector_dist_expression_op<exp1,vector_type,VECT_APPLYKER_IN_SIM_SORT>
+{
+	//! Return the type of the Cell-list
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<0>>::type NN;
+	//! Return the type of the kernel
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<1>>::type Kernel;
+	//! Return the vector containing the position of the particles
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<2>>::type vector_orig;
+
+	//! Return the type of the Cell-list
+	typedef typename std::remove_reference<NN>::type NN_nr;
+	//! Return the type of the kernel
+	typedef typename std::remove_reference<Kernel>::type Kernel_nr;
+	//! Return the vector containing the position of the particles
+	typedef typename std::remove_reference<vector_orig>::type vector_orig_nr;
+
+	//! Cell-list
+	mutable_or_not<NN,is_gpu_celllist<NN>::type::value || is_gpu_ker_celllist<NN>::type::value> cl;
+
+	//! kernel
+	mutable_or_not<Kernel,is_gpu_celllist<NN>::type::value || is_gpu_ker_celllist<NN>::type::value> ker;
+
+	//! vector with the particle positions
+	const vector_orig vd;
+
+	//! Get the return type of the expression
+	typedef typename apply_kernel_rtype<decltype(std::declval<Kernel_nr>().value(Point<vector_orig_nr::dims,typename vector_orig_nr::stype>(0.0), Point<vector_orig_nr::dims,typename vector_orig_nr::stype>(0.0) ) )>::rtype rtype;
+
+
+public:
+
+	//! indicate if this expression operate on kernel expression
+	typedef typename has_vector_kernel<vector_orig_nr>::type is_ker;
+
+	//! vector type on which this expression work
+	typedef vector_orig_nr vtype;
+
+	//! indicate that is apply_kernel is not a sorted version
+	typedef boost::mpl::bool_<true> is_sort;
+
+	//! type of NN structure
+	typedef NN_nr NN_type;
+
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_nr * getNN() const
+	{
+		return &cl.obj;
+	}
+
+	/*! \brief get the vector
+	 *
+	 * \return the vector
+	 *
+	 */
+	inline const vtype & getVector() const
+	{
+		return vd;
+	}
+
+	/*! \brief This function must be called before value
+	 *
+	 * it initialize the expression if needed
+	 *
+	 */
+	inline void init() const
+	{
+	}
+
+	/*! \brief Constructor
+	 *
+	 * \param cl cell-list
+	 * \param ker kernel
+	 * \param vd Vector containing the particle positions
+	 *
+	 */
+	vector_dist_expression_op(NN & cl, Kernel & ker, const vector_orig & vd)
+	:cl(cl),ker(ker),vd(vd)
+	{}
+
+	/*! \brief Evaluate the expression
+	 *
+	 * \param key where to evaluate the expression
+	 *
+	 * \return the result produced by the expression
+	 *
+	 */
+	__device__ __host__ inline typename std::remove_reference<rtype>::type value(const vect_dist_key_dx & key) const
+	{
+		return apply_kernel_is_number_or_expression_sim<NN_index_sort,
+														vector_orig_nr,
+														exp1,
+														NN_nr,
+														Kernel_nr,
+														rtype>::apply(vd,cl.obj,key,ker.obj);
+	}
+};
 
 /*! \brief Apply kernel operation
  *
@@ -507,6 +788,136 @@ public:
 	//! vector type on which this expression work
 	typedef vector_orig_nr vtype;
 
+	//! indicate that is apply_kernel is not a sorted version
+	typedef boost::mpl::bool_<false> is_sort;
+
+	//! type of NN structure
+	typedef NN_nr NN_type;
+
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_nr * getNN() const
+	{
+		return &cl.obj;
+	}
+
+	/*! \brief get the vector
+	 *
+	 * \return the vector
+	 *
+	 */
+	inline const vtype & getVector() const
+	{
+		return vd;
+	}
+
+	/*! \brief This function must be called before value
+	 *
+	 * it initialize the expression if needed
+	 *
+	 */
+	inline void init() const
+	{
+		o1.init();
+	}
+
+	/*! \brief Constructor
+	 *
+	 * \param o1 expression
+	 * \param cl Cell-list
+	 * \param ker Kernel
+	 * \param vd vector containing the set of particles
+	 *
+	 */
+	vector_dist_expression_op(const exp1 & o1, NN & cl, Kernel & ker, const vector_orig & vd)
+	:o1(o1),cl(cl),ker(ker),vd(vd)
+	{}
+
+	/*! \brief Evaluate the expression
+	 *
+	 * \param key where to evaluate the expression
+	 *
+	 * \return the result of the expression
+	 *
+	 */
+	__device__ __host__ inline typename std::remove_reference<rtype>::type value(const vect_dist_key_dx & key) const
+	{
+		return apply_kernel_is_number_or_expression_gen<NN_index_unsort,
+														decltype(o1.value(key)),
+														vector_orig_nr,
+														exp1,
+														NN_nr,
+														Kernel_nr,
+														rtype>::apply(vd,cl.obj,o1,key,ker.obj);
+	}
+};
+
+/*! \brief Apply kernel operation
+ *
+ * \tparam exp1 expression1
+ * \tparam NN list
+ *
+ */
+template <typename exp1,typename vector_type>
+class vector_dist_expression_op<exp1,vector_type,VECT_APPLYKER_IN_GEN_SORT>
+{
+	//! Get the type of the Cell-list
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<0>>::type NN;
+	//! Get the type of the kernel
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<1>>::type Kernel;
+
+	//! Get the type of the vector containing the set of particles
+	typedef typename boost::mpl::at<vector_type,boost::mpl::int_<2>>::type vector_orig;
+
+	//! Return the type of the Cell-list
+	typedef typename std::remove_reference<NN>::type NN_nr;
+	//! Return the type of the kernel
+	typedef typename std::remove_reference<Kernel>::type Kernel_nr;
+	//! Return the vector containing the position of the particles
+	typedef typename std::remove_reference<vector_orig>::type vector_orig_nr;
+
+	//! Expression
+	const exp1 o1;
+
+	//! Cell-list
+	mutable_or_not<NN,is_gpu_celllist<NN>::type::value || is_gpu_ker_celllist<NN>::type::value> cl;
+
+	//! kernel
+	mutable_or_not<Kernel,is_gpu_celllist<NN>::type::value || is_gpu_ker_celllist<NN>::type::value> ker;
+
+	//! Vector containing the particles
+	const vector_orig vd;
+
+	//! Return type of the expression
+	typedef typename apply_kernel_rtype<decltype(o1.value(vect_dist_key_dx()))>::rtype rtype;
+
+public:
+
+	//! indicate if this expression operate on kernel expression
+	typedef typename has_vector_kernel<vector_orig_nr>::type is_ker;
+
+	//! vector type on which this expression work
+	typedef vector_orig_nr vtype;
+
+	//! indicate that is apply_kernel is not a sorted version
+	typedef boost::mpl::bool_<true> is_sort;
+
+	//! type of NN structure
+	typedef NN_nr NN_type;
+
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_nr * getNN() const
+	{
+		return &cl.obj;
+	}
+
 	/*! \brief get the vector
 	 *
 	 * \return the vector
@@ -548,7 +959,8 @@ public:
 	 */
 	__device__ __host__ inline typename std::remove_reference<rtype>::type value(const vect_dist_key_dx & key) const
 	{
-		return apply_kernel_is_number_or_expression_gen<decltype(o1.value(key)),
+		return apply_kernel_is_number_or_expression_gen<NN_index_sort,
+														decltype(o1.value(key)),
 														vector_orig_nr,
 														exp1,
 														NN_nr,
@@ -608,7 +1020,7 @@ struct kl_selector_impl<kl_type,cl_type,1>
 	typedef kl_type ktype;
 };
 
-template<bool uwk, typename T>
+template<bool is_sorted, bool uwk, typename T>
 struct unroll_with_to_kernel
 {
 	typedef T type;
@@ -620,7 +1032,7 @@ struct unroll_with_to_kernel
 };
 
 template<typename T>
-struct unroll_with_to_kernel<true,T>
+struct unroll_with_to_kernel<false,true,T>
 {
 	typedef decltype(std::declval<T>().toKernel()) type;
 
@@ -630,7 +1042,18 @@ struct unroll_with_to_kernel<true,T>
 	}
 };
 
-template<typename vl_type, typename cl_type, int impl=2*is_gpu_celllist<cl_type>::type::value + is_gpu_ker_celllist<cl_type>::type::value>
+template<typename T>
+struct unroll_with_to_kernel<true,true,T>
+{
+	typedef decltype(std::declval<T>().toKernel_sorted()) type;
+
+	static type get(T & v)
+	{
+		return v.toKernel_sorted();
+	}
+};
+
+template<bool is_sorted, typename vl_type, typename cl_type, int impl=2*is_gpu_celllist<cl_type>::type::value + is_gpu_ker_celllist<cl_type>::type::value>
 struct vl_selector_impl
 {
 	typedef vl_type& vtype;
@@ -642,7 +1065,7 @@ struct vl_selector_impl
 };
 
 template<typename vl_type, typename cl_type>
-struct vl_selector_impl<vl_type,cl_type,2>
+struct vl_selector_impl<false,vl_type,cl_type,2>
 {
 	typedef decltype(std::declval<vl_type>().toKernel()) vtype;
 
@@ -653,13 +1076,24 @@ struct vl_selector_impl<vl_type,cl_type,2>
 };
 
 template<typename vl_type, typename cl_type>
-struct vl_selector_impl<vl_type,cl_type,1>
+struct vl_selector_impl<true,vl_type,cl_type,2>
+{
+	typedef decltype(std::declval<vl_type>().toKernel()) vtype;
+
+	static vtype & get(vl_type & v)
+	{
+		return v.toKernel_sorted();
+	}
+};
+
+template<bool is_sorted, typename vl_type, typename cl_type>
+struct vl_selector_impl<is_sorted, vl_type,cl_type,1>
 {
-	typedef typename unroll_with_to_kernel<has_toKernel<vl_type>::type::value,vl_type>::type vtype;
+	typedef typename unroll_with_to_kernel<is_sorted,has_toKernel<vl_type>::type::value,vl_type>::type vtype;
 
 	static vtype get(vl_type & v)
 	{
-		return unroll_with_to_kernel<has_toKernel<vl_type>::type::value,vl_type>::get(v);
+		return unroll_with_to_kernel<is_sorted,has_toKernel<vl_type>::type::value,vl_type>::get(v);
 	}
 };
 
@@ -679,23 +1113,54 @@ template<typename exp1, typename exp2, unsigned int op1, typename NN, typename K
 inline vector_dist_expression_op<vector_dist_expression_op<exp1,exp2,op1>,
 								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
-								 	 	 	 	 	typename vl_selector_impl<vector_type,NN>::vtype>,
+								 	 	 	 	 	typename vl_selector_impl<false,vector_type,NN>::vtype>,
 								 VECT_APPLYKER_IN>
 applyKernel_in(const vector_dist_expression_op<exp1,exp2,op1> & va, vector_type & vd, NN & cl, Kernel & ker)
 {
 	vector_dist_expression_op<vector_dist_expression_op<exp1,exp2,op1>,
 							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
-							  	  	  	  	  	 typename vl_selector_impl<vector_type,NN>::vtype>,
+							  	  	  	  	  	 typename vl_selector_impl<false,vector_type,NN>::vtype>,
 							  VECT_APPLYKER_IN> exp_sum(va,
 									  	  	  	  	  	cl_selector_impl<NN>::get(cl),
 									  	  	  	  	  	ker,
-									  	  	  	  	  	vl_selector_impl<vector_type,NN>::get(vd));
+									  	  	  	  	  	vl_selector_impl<false,vector_type,NN>::get(vd));
 
 	return exp_sum;
 }
 
 
+///////////////////////////////////////////// Apply kernel operator ////
+////////////////////////////////////////////////////////////////////////
+
+/* \brief Apply kernel expression
+ *
+ * \param va vector expression one
+ * \param vb vector expression two
+ *
+ * \return an object that encapsulate the expression
+ *
+ */
+template<typename exp1, typename exp2, unsigned int op1, typename NN, typename Kernel, typename vector_type>
+inline vector_dist_expression_op<vector_dist_expression_op<exp1,exp2,op1>,
+								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
+								 	 	 	 	 	typename vl_selector_impl<true,vector_type,NN>::vtype>,
+								 VECT_APPLYKER_IN_SORT>
+applyKernel_in_sort(const vector_dist_expression_op<exp1,exp2,op1> & va, vector_type & vd, NN & cl, Kernel & ker)
+{
+	vector_dist_expression_op<vector_dist_expression_op<exp1,exp2,op1>,
+							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
+							  	  	  	  	  	 typename vl_selector_impl<true,vector_type,NN>::vtype>,
+							  VECT_APPLYKER_IN_SORT> exp_sum(va,
+									  	  	  	  	  	cl_selector_impl<NN>::get(cl),
+									  	  	  	  	  	ker,
+									  	  	  	  	  	vl_selector_impl<true,vector_type,NN>::get(vd));
+
+	return exp_sum;
+}
+
 /* \brief Apply kernel expression
  *
  * \param va vector expression one
@@ -708,22 +1173,49 @@ template<typename exp1, typename exp2, unsigned int op1, typename NN, typename K
 inline vector_dist_expression_op<vector_dist_expression_op<exp1,exp2,op1>,
 								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
-								 	 	 	 	 	typename vl_selector_impl<vector_type,NN>::vtype>,
+								 	 	 	 	 	typename vl_selector_impl<false,vector_type,NN>::vtype>,
 								 VECT_APPLYKER_IN_GEN>
 applyKernel_in_gen(const vector_dist_expression_op<exp1,exp2,op1> & va, vector_type & vd, NN & cl, Kernel & ker)
 {
 	vector_dist_expression_op<vector_dist_expression_op<exp1,exp2,op1>,
 							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
-							  	  	  	  	  	 typename vl_selector_impl<vector_type,NN>::vtype>,
+							  	  	  	  	  	 typename vl_selector_impl<false,vector_type,NN>::vtype>,
 							  VECT_APPLYKER_IN_GEN> exp_sum(va,
 									  	  	  	  	  	  	cl_selector_impl<NN>::get(cl),
 									  	  	  	  	  	  	ker,
-									  	  	  	  	  	  	vl_selector_impl<vector_type,NN>::get(vd));
+									  	  	  	  	  	  	vl_selector_impl<false,vector_type,NN>::get(vd));
 
 	return exp_sum;
 }
 
+/* \brief Apply kernel expression
+ *
+ * \param va vector expression one
+ * \param vb vector expression two
+ *
+ * \return an object that encapsulate the expression
+ *
+ */
+template<typename exp1, typename exp2, unsigned int op1, typename NN, typename Kernel, typename vector_type>
+inline vector_dist_expression_op<vector_dist_expression_op<exp1,exp2,op1>,
+								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
+								 	 	 	 	 	typename vl_selector_impl<true,vector_type,NN>::vtype>,
+								 VECT_APPLYKER_IN_GEN_SORT>
+applyKernel_in_gen_sort(const vector_dist_expression_op<exp1,exp2,op1> & va, vector_type & vd, NN & cl, Kernel & ker)
+{
+	vector_dist_expression_op<vector_dist_expression_op<exp1,exp2,op1>,
+							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
+							  	  	  	  	  	 typename vl_selector_impl<true,vector_type,NN>::vtype>,
+							  VECT_APPLYKER_IN_GEN_SORT> exp_sum(va,
+									  	  	  	  	  	  	cl_selector_impl<NN>::get(cl),
+									  	  	  	  	  	  	ker,
+									  	  	  	  	  	  	vl_selector_impl<true,vector_type,NN>::get(vd));
+
+	return exp_sum;
+}
 
 //////////////////////////////////////// For vector expression ///////////////////////
 
@@ -739,18 +1231,46 @@ template<unsigned int prp, typename NN, typename Kernel, typename vector_type, t
 inline vector_dist_expression_op<vector_dist_expression<prp,vector_type_ker>,
 								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
-								 	 	 	 	 	typename vl_selector_impl<vector_type,NN>::vtype>,
+								 	 	 	 	 	typename vl_selector_impl<false,vector_type,NN>::vtype>,
 								 VECT_APPLYKER_IN>
 applyKernel_in(const vector_dist_expression<prp,vector_type_ker> & va, vector_type & vd, NN & cl, Kernel & ker)
 {
 	vector_dist_expression_op<vector_dist_expression<prp,vector_type_ker>,
 							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
-							  	  	  	  	  	 typename vl_selector_impl<vector_type,NN>::vtype>,
+							  	  	  	  	  	 typename vl_selector_impl<false,vector_type,NN>::vtype>,
 							  VECT_APPLYKER_IN> exp_sum(va,
 									  	  	  	  	  	cl_selector_impl<NN>::get(cl),
 									  	  	  	  	  	ker,
-									  	  	  	  	  	vl_selector_impl<vector_type,NN>::get(vd));
+									  	  	  	  	  	vl_selector_impl<false,vector_type,NN>::get(vd));
+
+	return exp_sum;
+}
+
+/* \brief Apply kernel expression
+ *
+ * \param va vector expression one
+ * \param vb vector expression two
+ *
+ * \return an object that encapsulate the expression
+ *
+ */
+template<unsigned int prp, typename NN, typename Kernel, typename vector_type, typename vector_type_ker>
+inline vector_dist_expression_op<vector_dist_expression<prp,vector_type_ker>,
+								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
+								 	 	 	 	 	typename vl_selector_impl<true,vector_type,NN>::vtype>,
+								 VECT_APPLYKER_IN_SORT>
+applyKernel_in_sort(const vector_dist_expression<prp,vector_type_ker> & va, vector_type & vd, NN & cl, Kernel & ker)
+{
+	vector_dist_expression_op<vector_dist_expression<prp,vector_type_ker>,
+							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
+							  	  	  	  	  	 typename vl_selector_impl<true,vector_type,NN>::vtype>,
+							  VECT_APPLYKER_IN_SORT> exp_sum(va,
+									  	  	  	  	  	cl_selector_impl<NN>::get(cl),
+									  	  	  	  	  	ker,
+									  	  	  	  	  	vl_selector_impl<true,vector_type,NN>::get(vd));
 
 	return exp_sum;
 }
@@ -767,22 +1287,49 @@ template<unsigned int prp, typename NN, typename Kernel, typename vector_type, t
 inline vector_dist_expression_op<vector_dist_expression<prp,vector_type_ker>,
 								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
-								 	 	 	 	 	typename vl_selector_impl<vector_type,NN>::vtype>,
+								 	 	 	 	 	typename vl_selector_impl<false,vector_type,NN>::vtype>,
 								 VECT_APPLYKER_IN_GEN>
 applyKernel_in_gen(const vector_dist_expression<prp,vector_type_ker> & va, vector_type & vd, NN & cl, Kernel & ker)
 {
 	vector_dist_expression_op<vector_dist_expression<prp,vector_type_ker>,
 							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
-							  	  	  	  	  	 typename vl_selector_impl<vector_type,NN>::vtype>,
+							  	  	  	  	  	 typename vl_selector_impl<false,vector_type,NN>::vtype>,
 							  VECT_APPLYKER_IN_GEN> exp_sum(va,
 									  	  	  	  	  	  	cl_selector_impl<NN>::get(cl),
 									  	  	  	  	  	  	ker,
-									  	  	  	  	  	  	vl_selector_impl<vector_type,NN>::get(vd));
+									  	  	  	  	  	  	vl_selector_impl<false,vector_type,NN>::get(vd));
 
 	return exp_sum;
 }
 
+/* \brief Apply kernel expression
+ *
+ * \param va vector expression one
+ * \param vb vector expression two
+ *
+ * \return an object that encapsulate the expression
+ *
+ */
+template<unsigned int prp, typename NN, typename Kernel, typename vector_type, typename vector_type_ker>
+inline vector_dist_expression_op<vector_dist_expression<prp,vector_type_ker>,
+								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
+								 	 	 	 	 	typename vl_selector_impl<true,vector_type,NN>::vtype>,
+								 VECT_APPLYKER_IN_GEN_SORT>
+applyKernel_in_gen_sort(const vector_dist_expression<prp,vector_type_ker> & va, vector_type & vd, NN & cl, Kernel & ker)
+{
+	vector_dist_expression_op<vector_dist_expression<prp,vector_type_ker>,
+							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
+							  	  	  	  	  	 typename vl_selector_impl<true,vector_type,NN>::vtype>,
+							  VECT_APPLYKER_IN_GEN_SORT> exp_sum(va,
+									  	  	  	  	  	  	cl_selector_impl<NN>::get(cl),
+									  	  	  	  	  	  	ker,
+									  	  	  	  	  	  	vl_selector_impl<true,vector_type,NN>::get(vd));
+
+	return exp_sum;
+}
 
 /* \brief Apply kernel expression
  *
@@ -796,20 +1343,46 @@ template<typename NN, typename Kernel, typename vector_type>
 inline vector_dist_expression_op<void,
 								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
-								 	 	 	 	 	typename vl_selector_impl<vector_type,NN>::vtype>,
+								 	 	 	 	 	typename vl_selector_impl<false,vector_type,NN>::vtype>,
 								 VECT_APPLYKER_IN_SIM>
 applyKernel_in_sim(vector_type & vd, NN & cl, Kernel & ker)
 {
 	vector_dist_expression_op<void,
 							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
 							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
-							  	  	  	  	  	 typename vl_selector_impl<vector_type,NN>::vtype>,
+							  	  	  	  	  	 typename vl_selector_impl<false,vector_type,NN>::vtype>,
 							  VECT_APPLYKER_IN_SIM> exp_sum(cl_selector_impl<NN>::get(cl),
 									  	  	  	  	  	  	ker,
-									  	  	  	  	  	  	vl_selector_impl<vector_type,NN>::get(vd));
+									  	  	  	  	  	  	vl_selector_impl<false,vector_type,NN>::get(vd));
 
 	return exp_sum;
 }
 
+/* \brief Apply kernel expression
+ *
+ * \param va vector expression one
+ * \param vb vector expression two
+ *
+ * \return an object that encapsulate the expression
+ *
+ */
+template<typename NN, typename Kernel, typename vector_type>
+inline vector_dist_expression_op<void,
+								 boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+								 	 	 	 	 	typename kl_selector_impl<Kernel,NN>::ktype,
+								 	 	 	 	 	typename vl_selector_impl<true,vector_type,NN>::vtype>,
+								 VECT_APPLYKER_IN_SIM_SORT>
+applyKernel_in_sim_sort(vector_type & vd, NN & cl, Kernel & ker)
+{
+	vector_dist_expression_op<void,
+							  boost::mpl::vector<typename cl_selector_impl<NN>::ctype,
+							  	  	  	  	  	 typename kl_selector_impl<Kernel,NN>::ktype,
+							  	  	  	  	  	 typename vl_selector_impl<true,vector_type,NN>::vtype>,
+							  VECT_APPLYKER_IN_SIM_SORT> exp_sum(cl_selector_impl<NN>::get(cl),
+									  	  	  	  	  	  	ker,
+									  	  	  	  	  	  	vl_selector_impl<true,vector_type,NN>::get(vd));
+
+	return exp_sum;
+}
 
 #endif /* OPENFPM_NUMERICS_SRC_OPERATORS_VECTOR_VECTOR_DIST_OPERATORS_APPLY_KERNEL_HPP_ */
diff --git a/src/Operators/Vector/vector_dist_operators_apply_kernel_unit_tests.cpp b/src/Operators/Vector/vector_dist_operators_apply_kernel_unit_tests.cpp
index c85e2978..add4d99c 100644
--- a/src/Operators/Vector/vector_dist_operators_apply_kernel_unit_tests.cpp
+++ b/src/Operators/Vector/vector_dist_operators_apply_kernel_unit_tests.cpp
@@ -13,6 +13,7 @@
 #include "Operators/Vector/vector_dist_operators.hpp"
 #include "Operators/Vector/tests/vector_dist_operators_tests_util.hpp"
 
+BOOST_AUTO_TEST_SUITE( vector_dist_operators_apply_kernel_test_cpu )
 
 BOOST_AUTO_TEST_CASE( vector_dist_operators_apply_kernel_test )
 {
@@ -32,4 +33,6 @@ BOOST_AUTO_TEST_CASE( vector_dist_operators_apply_kernel_test )
 	check_all_apply_ker<comp_host>::check(vd);
 }
 
+BOOST_AUTO_TEST_SUITE_END()
+
 
diff --git a/src/Operators/Vector/vector_dist_operators_apply_kernel_unit_tests.cu b/src/Operators/Vector/vector_dist_operators_apply_kernel_unit_tests.cu
index 1cb4f25c..a93b804b 100644
--- a/src/Operators/Vector/vector_dist_operators_apply_kernel_unit_tests.cu
+++ b/src/Operators/Vector/vector_dist_operators_apply_kernel_unit_tests.cu
@@ -13,6 +13,8 @@
 #include "Operators/Vector/vector_dist_operators.hpp"
 #include "Operators/Vector/tests/vector_dist_operators_tests_util.hpp"
 
+BOOST_AUTO_TEST_SUITE( vector_dist_operators_apply_kernel_test_gpu )
+
 BOOST_AUTO_TEST_CASE( vector_dist_operators_apply_host_gpu_test )
 {
 	if (create_vcluster().getProcessingUnits() > 3)
@@ -50,3 +52,23 @@ BOOST_AUTO_TEST_CASE( vector_dist_operators_apply_kernel_gpu_test )
 	check_all_apply_ker<comp_dev>::check(vd);
 }
 
+BOOST_AUTO_TEST_CASE( vector_dist_operators_apply_kernel_gpu_sort_test )
+{
+	if (create_vcluster().getProcessingUnits() > 3)
+		return;
+
+	Box<3,float> box({0.0,0.0,0.0},{1.0,1.0,1.0});
+
+	// Boundary conditions
+	size_t bc[3]={PERIODIC,PERIODIC,PERIODIC};
+
+	// ghost
+	Ghost<3,float> ghost(0.05);
+
+	vector_dist_gpu<3,float,aggregate<float,float,float,VectorS<3,float>,VectorS<3,float>,VectorS<3,float>,float>> vd(512,box,bc,ghost);
+
+	check_all_apply_ker_sort::check(vd);
+}
+
+BOOST_AUTO_TEST_SUITE_END()
+
diff --git a/src/Operators/Vector/vector_dist_operators_extensions.hpp b/src/Operators/Vector/vector_dist_operators_extensions.hpp
index c24bb661..de12ba21 100644
--- a/src/Operators/Vector/vector_dist_operators_extensions.hpp
+++ b/src/Operators/Vector/vector_dist_operators_extensions.hpp
@@ -39,6 +39,12 @@ public:
 
 	typedef void vtype;
 
+	//! result for is sort
+	typedef boost::mpl::bool_<false> is_sort;
+
+	//! NN_type
+	typedef void NN_type;
+
 	//! vector expression from a constant point
 	vector_dist_expression(point p)
 	:p(p)
diff --git a/src/Operators/Vector/vector_dist_operators_functions.hpp b/src/Operators/Vector/vector_dist_operators_functions.hpp
index 9958aedb..48d927d0 100644
--- a/src/Operators/Vector/vector_dist_operators_functions.hpp
+++ b/src/Operators/Vector/vector_dist_operators_functions.hpp
@@ -32,10 +32,19 @@ public:\
 	typedef typename exp1::is_ker is_ker;\
 \
 	typedef typename vector_result<typename exp1::vtype,void>::type vtype;\
+\
+	typedef typename vector_is_sort_result<exp1::is_sort::value,false>::type is_sort;\
+\
+	typedef typename nn_type_result<typename exp1::NN_type,void>::type NN_type;\
 \
 	vector_dist_expression_op(const exp1 & o1)\
 	:o1(o1)\
 	{}\
+\
+	inline NN_type * getNN()\
+	{\
+		return nn_type_result<typename exp1::NN_type,void>::getNN(o1);\
+	}\
 \
 	const vtype & getVector()\
 	{\
@@ -143,6 +152,15 @@ public:\
 	typedef std::integral_constant<bool,exp1::is_ker::value || exp1::is_ker::value> is_ker;\
 \
 	typedef typename vector_result<typename exp1::vtype,typename exp2::vtype>::type vtype;\
+\
+	typedef typename vector_is_sort_result<exp1::is_sort::value,exp2::is_sort::value>::type is_sort;\
+\
+	typedef typename nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::type NN_type;\
+\
+	inline NN_type * getNN()\
+	{\
+		return nn_type_result<typename exp1::NN_type,typename exp2::NN_type>::getNN(o1,o2);\
+	}\
 \
 	vtype & getVector()\
 	{\
@@ -243,7 +261,7 @@ CREATE_VDIST_ARG2_FUNC(pmul,pmul,VECT_PMUL)
 
 ////////// Special function reduce /////////////////////////
 
-template<typename val_type, bool is_scalar = is_Point<val_type>::type::value>
+template<typename val_type, bool is_sort, bool is_scalar = is_Point<val_type>::type::value>
 struct point_scalar_process
 {
 	typedef aggregate<val_type> type;
@@ -253,9 +271,12 @@ struct point_scalar_process
 	{
 #ifdef __NVCC__
 
-		auto ite = ve.getGPUIterator(256);
+//		auto ite = ve.getGPUIterator(256);
 
-		compute_expr_ker_v<0><<<ite.wthr,ite.thr>>>(ve.toKernel(),o1);
+//		compute_expr_ker_v<0><<<ite.wthr,ite.thr>>>(ve.toKernel(),o1);
+
+		auto vek = ve.toKernel();
+		vector_dist_op_compute_op<0,is_sort,comp_dev>::compute_expr_v(vek,o1);
 
 		exp_tmp2.resize(sizeof(val_type));
 
@@ -272,8 +293,8 @@ struct point_scalar_process
 	}
 };
 
-template<typename val_type>
-struct point_scalar_process<val_type,true>
+template<typename val_type, bool is_sort>
+struct point_scalar_process<val_type,is_sort,true>
 {
 	typedef val_type type;
 
@@ -282,9 +303,12 @@ struct point_scalar_process<val_type,true>
 	{
 #ifdef __NVCC__
 
-		auto ite = ve.getGPUIterator(256);
+//		auto ite = ve.getGPUIterator(256);
+
+//		compute_expr_ker_vv<0,val_type::dims><<<ite.wthr,ite.thr>>>(ve.toKernel(),o1);
 
-		compute_expr_ker_vv<0,val_type::dims><<<ite.wthr,ite.thr>>>(ve.toKernel(),o1);
+		auto vek = ve.toKernel();
+		vector_dist_op_compute_op<0,is_sort,comp_dev>::template compute_expr_vv<val_type::dims>(vek,o1);
 
 		exp_tmp2.resize(sizeof(val_type));
 
@@ -340,6 +364,12 @@ public:
 	//! return the vector type on which this expression operate
 	typedef typename vector_result<typename exp1::vtype,void>::type vtype;
 
+	//! result for is sort
+	typedef typename vector_is_sort_result<exp1::is_sort::value,false>::type is_sort;
+
+	//! NN_type
+	typedef typename nn_type_result<typename exp1::NN_type,void>::type NN_type;
+
 	//! constructor from an epxression exp1 and a vector vd
 	vector_dist_expression_op(const exp1 & o1)
 	:o1(o1),val(0)
@@ -357,7 +387,11 @@ public:
 
 			// we have to do it on GPU
 
-			openfpm::vector<typename point_scalar_process<val_type>::type,CudaMemory,typename memory_traits_inte<typename point_scalar_process<val_type>::type>::type,memory_traits_inte,openfpm::grow_policy_identity> ve;
+			openfpm::vector<typename point_scalar_process<val_type,is_sort::value>::type,
+							CudaMemory,
+							typename memory_traits_inte<typename point_scalar_process<val_type,is_sort::value>::type>::type,
+							memory_traits_inte,
+							openfpm::grow_policy_identity> ve;
 
 			auto & orig_v = o1.getVector();
 
@@ -367,7 +401,7 @@ public:
 			ve.setMemory(exp_tmp);
 			ve.resize(orig_v.size_local());
 
-			point_scalar_process<val_type>::process(val,ve,o1);
+			point_scalar_process<val_type,is_sort::value>::process(val,ve,o1);
 #else
 			std::cout << __FILE__ << ":" << __LINE__ << " error, to use expression on GPU you must compile with nvcc compiler " << std::endl;
 #endif
@@ -393,6 +427,16 @@ public:
 		}
 	}
 
+	/*! \brief get the NN object
+	 *
+	 * \return the NN object
+	 *
+	 */
+	inline NN_type * getNN() const
+	{
+		return nn_type_result<typename exp1::NN_type,void>::getNN(o1);
+	}
+
 	//! it return the result of the expression
 	inline typename std::remove_reference<rtype>::type get()
 	{
diff --git a/src/Operators/Vector/vector_dist_operators_unit_tests.cu b/src/Operators/Vector/vector_dist_operators_unit_tests.cu
index 2936ac7b..a920282d 100644
--- a/src/Operators/Vector/vector_dist_operators_unit_tests.cu
+++ b/src/Operators/Vector/vector_dist_operators_unit_tests.cu
@@ -28,21 +28,20 @@ BOOST_AUTO_TEST_CASE(vector_dist_operators_list_ker_test)
 
 	vector_dist_ker_list<vector_dist_kernel> & vdkl = vd.private_get_vector_dist_ker_list();
 
-	auto vdk = vd.toKernel();
 	BOOST_REQUIRE_EQUAL(vdkl.n_entry(),0);
 
 	{
-		auto vA = getV<A>(vd,vdk);
+		auto vA = getV<A,comp_dev>(vd);
 
 		BOOST_REQUIRE_EQUAL(vdkl.n_entry(),1);
 
 		{
-			auto vB = getV<B>(vd,vdk);
-			auto vC = getV<C>(vd,vdk);
+			auto vB = getV<B,comp_dev>(vd);
+			auto vC = getV<C,comp_dev>(vd);
 
-			auto vVA = getV<VA>(vd,vdk);
-			auto vVB = getV<VB>(vd,vdk);
-			auto vVC = getV<VC>(vd,vdk);
+			auto vVA = getV<VA,comp_dev>(vd);
+			auto vVB = getV<VB,comp_dev>(vd);
+			auto vVC = getV<VC,comp_dev>(vd);
 
 			BOOST_REQUIRE_EQUAL(vdkl.n_entry(),6);
 
diff --git a/test/petsc_solver<double>_lid_driven_cavity_3d_p1_grid_0_test_GCC8.vtk b/test/petsc_solver<double>_lid_driven_cavity_3d_p1_grid_0_test_GCC8.vtk
new file mode 100644
index 00000000..c7c3e836
--- /dev/null
+++ b/test/petsc_solver<double>_lid_driven_cavity_3d_p1_grid_0_test_GCC8.vtk
@@ -0,0 +1,25932 @@
+# vtk DataFile Version 3.0
+grids
+ASCII
+DATASET POLYDATA
+POINTS 5184 float
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diff --git a/test/petsc_solver<double>_lid_driven_cavity_3d_p2_grid_0_test_GCC8.vtk b/test/petsc_solver<double>_lid_driven_cavity_3d_p2_grid_0_test_GCC8.vtk
new file mode 100644
index 00000000..e3d345d2
--- /dev/null
+++ b/test/petsc_solver<double>_lid_driven_cavity_3d_p2_grid_0_test_GCC8.vtk
@@ -0,0 +1,12972 @@
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diff --git a/test/petsc_solver<double>_lid_driven_cavity_3d_p2_grid_1_test_GCC8.vtk b/test/petsc_solver<double>_lid_driven_cavity_3d_p2_grid_1_test_GCC8.vtk
new file mode 100644
index 00000000..f8e11aab
--- /dev/null
+++ b/test/petsc_solver<double>_lid_driven_cavity_3d_p2_grid_1_test_GCC8.vtk
@@ -0,0 +1,12972 @@
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diff --git a/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_0_test_GCC8.vtk b/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_0_test_GCC8.vtk
new file mode 100644
index 00000000..fe1c80bf
--- /dev/null
+++ b/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_0_test_GCC8.vtk
@@ -0,0 +1,7757 @@
+# vtk DataFile Version 3.0
+grids
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+DATASET POLYDATA
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diff --git a/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_1_test_GCC8.vtk b/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_1_test_GCC8.vtk
new file mode 100644
index 00000000..c29d84c4
--- /dev/null
+++ b/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_1_test_GCC8.vtk
@@ -0,0 +1,8827 @@
+# vtk DataFile Version 3.0
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diff --git a/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_2_test_GCC8.vtk b/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_2_test_GCC8.vtk
new file mode 100644
index 00000000..48a4fc56
--- /dev/null
+++ b/test/petsc_solver<double>_lid_driven_cavity_3d_p3_grid_2_test_GCC8.vtk
@@ -0,0 +1,9372 @@
+# vtk DataFile Version 3.0
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GitLab